Question
Kenji is training for an upcoming marathon and has committed to running more than 19 miles today. If he runs from his house, he can run along two loops: a short path that is 4 miles in length, and a long path that is 5 miles in length.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of loops on the short path
y = the number of loops on the long path
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of loops on the short path
y = the number of loops on the long path
Answers
GPT-4o mini
To describe Kenji's running distance with the variables provided, we let:
- \( x \) be the number of loops on the short path, which is 4 miles per loop,
- \( y \) be the number of loops on the long path, which is 5 miles per loop.
Kenji wants to run more than 19 miles, which gives us the inequality:
\[
4x + 5y > 19
\]
This inequality can be read as "the total distance Kenji runs (4 miles times the number of short loops plus 5 miles times the number of long loops) must be greater than 19 miles."
Thus, the standard form of the inequality that describes this situation is:
\[
4x + 5y > 19
\]
- \( x \) be the number of loops on the short path, which is 4 miles per loop,
- \( y \) be the number of loops on the long path, which is 5 miles per loop.
Kenji wants to run more than 19 miles, which gives us the inequality:
\[
4x + 5y > 19
\]
This inequality can be read as "the total distance Kenji runs (4 miles times the number of short loops plus 5 miles times the number of long loops) must be greater than 19 miles."
Thus, the standard form of the inequality that describes this situation is:
\[
4x + 5y > 19
\]